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11101102122220 = 22511831627373661
BaseRepresentation
bin1010000110001010110100…
…1111111010010011101100
31110022020212220010122000121
42201202231033322103230
52423340024120402340
635335435332534324
72224012442064205
oct241425517722354
943266786118017
1011101102122220
11359aa50819820
1212b35747813a4
13626aa2378406
142a5420b285ac
15143b7254894a
hexa18ad3fa4ec

11101102122220 has 96 divisors (see below), whose sum is σ = 25753909015296. Its totient is φ = 3985666809600.

The previous prime is 11101102122199. The next prime is 11101102122223. The reversal of 11101102122220 is 2222120110111.

It is a super-3 number, since 3×111011021222203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101102122194 and 11101102122203.

It is not an unprimeable number, because it can be changed into a prime (11101102122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29522190 + ... + 29895850.

It is an arithmetic number, because the mean of its divisors is an integer number (268269885576).

Almost surely, 211101102122220 is an apocalyptic number.

11101102122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101102122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876954507648).

11101102122220 is an abundant number, since it is smaller than the sum of its proper divisors (14652806893076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101102122220 is a wasteful number, since it uses less digits than its factorization.

11101102122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375391 (or 375389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101102122220 its reverse (2222120110111), we get a palindrome (13323222232331).

The spelling of 11101102122220 in words is "eleven trillion, one hundred one billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1627 1660 1826 3254 3652 4565 6508 8135 9130 16270 17897 18260 32540 35794 71588 89485 135041 178970 270082 357940 373661 540164 675205 747322 1350410 1485451 1494644 1868305 2700820 2970902 3736610 4110271 5941804 7427255 7473220 8220542 14854510 16441084 20551355 29709020 31013863 41102710 62027726 82205420 124055452 155069315 310138630 341152493 607946447 620277260 682304986 1215892894 1364609972 1705762465 2431785788 3039732235 3411524930 6079464470 6687410917 6823049860 12158928940 13374821834 26749643668 33437054585 50459555101 66874109170 100919110202 133748218340 201838220404 252297775505 504595551010 555055106111 1009191102020 1110110212222 2220220424444 2775275530555 5550551061110 11101102122220